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Finding the Fourth Proportional to 111.44, 154.07 and 97.76

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Solution

The fourth proportional to 111.44, 154.07 and 97.76 is: 135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.44 : 154.07 = 97.76 : x
  2. Step 2: Convert to fraction form
    111.44/154.07 = 97.76/x
  3. Step 3: Cross multiply
    111.44x = 154.07 × 97.76
  4. Step 4: Simplify right side
    111.44x = 15,061.78
  5. Step 5: Solve for x
    x = 15,061.78/111.44
  6. Step 6: Final answer
    x = 135.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.